Perform each of the following computations using the measured quantities below. a. 917.2 + 45.63 = ___________ b. 3.423 x

Question

Perform each of the following computations using the measured quantities below.

a. 917.2 + 45.63 = ___________
b. 3.423 x 10^-4 – 6.42 x 10^-3 =_________

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Thái Dương 5 years 2021-07-31T00:25:15+00:00 1 Answers 21 views 0

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  1. Latifah
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    2021-07-31T00:26:53+00:00
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    Question

    Perform each of the following computations using the measured quantities below.

    Write your final answer with the correct number of significant figures in proper scientific notation (one non-zero number to the left of the decimal point).

    a. 917.2 + 45.63 = ___________

    b. 3.423 x 10^-4 – 6.42 x 10^-3 =_________

    Answer:

    (a) 9.6 x 10²

    (b) -6.1 x 10⁻³

    Step-by-step explanation:

    (a) 917.2 + 45.63

    First add the two numbers as follows (ensure that the decimal numbers are well aligned);

       9  1   7 . 2

    +     4  5 . 6  3

       9  6 2  . 8  3

    To write the result in a proper scientific notation (one non-zero number to the left of the decimal point),

    i. Express the number is standard form

    962.83 = 9.6283 x 10²

    Note that;

    From the result in (i)

    9.6283 = mantissa

    10 = base

    ² = power or exponent.

    ii. Express the mantissa of the number in 1 decimal place.

    9.6 x 10²

    Therefore, the result in the proper scientific notation is 9.6 x 10².

    (b)  3.423 x 10⁻⁴ – 6.42 x 10⁻³

    Find the difference between the two numbers as follows;

    i. Re-write the numbers so that they both have the same exponents:

    0.3423 x 10⁻³ – 6.42 x 10⁻³

    ii. Factor out 10⁻³

    10⁻³(0.3423 – 6.42)

    iii. Solve the bracket

    10⁻³(-6.0777)

    iv. Rewrite the result in (iii)

    -6.0777 x 10⁻³

    To write the result in a proper scientific notation (one non-zero number to the left of the decimal point),

    i. Express the number is standard form

    -6.0777 x 10⁻³       [already in standard form]

    Note that;

    From the result in (i)

    -6.0777 = mantissa

    10 = base

    ⁻³ = power or exponent.

    ii. Express the mantissa of the number in 1 decimal place.

    -6.1 x 10⁻³

    Therefore, the result in the proper scientific notation is -6.1 x 10⁻³.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )